Published on *Max-Planck-Institut für Mathematik* (https://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Danylo Radchenko
Zugehörigkeit:

ETH Zürich
Datum:

Mit, 2020-09-23 17:00 - 18:00 I will talk about a recent result that shows that any sufficiently nice even analytic function can be recovered from its values at the nontrivial zeros of \zeta(1/2+is) and the values of its Fourier transform at logarithms of integers. The proof is based on an explicit interpolation formula, whose construction relies on a strengthening of Knopp's abundance principle for Dirichlet series with functional equations. The talk is based on a joint work with Andriy Bondarenko and Kristian Seip.

Zoom meeting: ID: 943 3217 1339

For password please ask Pieter Moree (moree@mpim-...)

**Links:**

[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/de/node/246